`PhysMeasureBasis.null_singleton_volume` (y : ℝ) : volume ({y} : Set ℝ) = 0

Proved

PhysMeasureBasis.null_singleton_volume

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from PhysMeasureBasis.

PhysMeasureBasis.null_singleton_volume (y : ℝ) : volume ({y} : Set ℝ) = 0

Formalization note: Lean 4 identifier PhysMeasureBasis.null_singleton_volume.

Preamble

-- Generated from PhysMeasureBasis.lean — theorem PhysMeasureBasis.null_singleton_volume
import Mathlib
import Definitions.Def_PhysMeasureBasis
import Definitions.Def_ChapterA4
open PhysMeasureBasis


open MeasureTheory Set ProbabilityTheory
open scoped ENNReal

noncomputable section

Formal statement

theorem PhysMeasureBasis.null_singleton_volume (y : ℝ) : volume ({y} : Set ℝ) = 0 := by sorry

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